(1) Department of Gynaecology and Obstetrics, Clinical Section, General Hospital of PLA, 100853 Beijing, China;
Abstract:
The distribution of complete and very ample linear series on a curve X of genus g is only well known if they satisfy the inequality g−d + r ≤ 1, for their index of speciality. In this paper we mainly study those curves X on which all complete and very ample satisfy this inequality. The interesting case g = 9 is discussed in detail.
